Search a number
-
+
6420395820 = 22354110325339
BaseRepresentation
bin1011111101010111…
…10111011100101100
3121120110002220022210
411332223313130230
5101122110131240
62541031210420
7315050315106
oct57653673454
917513086283
106420395820
1127a5167453
1212b2216a10
137b41cb9a7
1444c9a2576
152789c9780
hex17eaf772c

6420395820 has 96 divisors (see below), whose sum is σ = 18595100160. Its totient is φ = 1654064640.

The previous prime is 6420395819. The next prime is 6420395843. The reversal of 6420395820 is 285930246.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240711 + ... + 266049.

It is an arithmetic number, because the mean of its divisors is an integer number (193698960).

Almost surely, 26420395820 is an apocalyptic number.

6420395820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6420395820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297550080).

6420395820 is an abundant number, since it is smaller than the sum of its proper divisors (12174704340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6420395820 is a wasteful number, since it uses less digits than its factorization.

6420395820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25495 (or 25493 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6420395820 is about 80127.3724765763. The cubic root of 6420395820 is about 1858.6057130872.

The spelling of 6420395820 in words is "six billion, four hundred twenty million, three hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 2060 2460 3090 4223 6180 8446 12669 16892 21115 25338 25339 42230 50676 50678 63345 76017 84460 101356 126690 126695 152034 253380 253390 304068 380085 506780 760170 1038899 1520340 2077798 2609917 3116697 4155596 5194495 5219834 6233394 7829751 10388990 10439668 12466788 13049585 15583485 15659502 20777980 26099170 31166970 31319004 39148755 52198340 62333940 78297510 107006597 156595020 214013194 321019791 428026388 535032985 642039582 1070065970 1284079164 1605098955 2140131940 3210197910 6420395820